The Inverse Of A 2 × 2 Matrix - Casio fx-3650P Programming Manual

Programmable scientific calculator
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24
The inverse of a 2 × 2 matrix.
The inverse of the 2×2 matrix
d
b –
1
----------------- -
ad bc
c – a
As is clear from the formula above, when the denominator
Lbl 1:?→ A:?→ B:?→ C:?→ D:AD - BC → M:M =0⇒ Goto 1:
A→X : D÷M→A : X÷M→D : -B÷M→B : -C÷M→C : A
INPUT
A, B, C, D : matrix
OUTPUT
A, B, C, D : inverse of matrix
The inverse matrix of
Prog
1
1
EXE
4
2
EXE
4
EXE
EXE
EXE
For
ad bc
=
34
a b
c d
 a b
1 0
=
c d
0 1
a b
c d
1 –
1 4
is
2 4
0.5
EXE
EXE
, the inverse does not exist and the values
0
d
1
----------------- -
is
ad bc
c – a
a
a b
c d
1
0.25
S A
M
S A
M
S A
M
S A
M
b –
. In other words,
d
bc
=
0
, no inverse exists.
D <71 STEP>
P1 P1 P2 P3 P4
D R
P1 P1 P2 P3 P4
D R
P1 P1 P2 P3 P4
D R
P1 P1 P2 P3 P4
D R
and
must be re-entered.
a b c
, ,
d
G
Disp
G
Disp
G
Disp
G

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